The OT should be oriented so that it is perpendicular to the PT on at least one plane. After that, who knows?
The rule is that coupling reduction is proportional to the square of the change of distance.
Plain english: If you double the distance between 2 transformers, you get about 1/4 of the coupling between them. So hum should be reduced by about the same amount. If you move the transformers from touching to 1 inch, there is some amount of hum reduction; moving an additional inch apart (double-distance) gives 4 times the hum reduction. If you move an additional inch apart (3 inches), you have 9 times the hum reduction compared to moving to 1 inch apart.
Remember that transformers on opposite sides of the chassis is a case that is always more about structural issues than hum reduction. That is, the chassis may only be stiff enough to support the weight where the vertical sides stiffen the whole thing. It is also more common on aluminum chasses than steel.
There are 2 types of coupling: electromagnetic and electrostatic.
You might move the OT away from the PT to reduce magnetic coupling. Beyond some point (maybe 3-4 inches or a bit more), hum from this source has been reduced as much as it likely will ever be. Having the OT over preamp circuitry then makes electrostatic coupling more of an issue. Now, high
voltage signals at the OT might couple into lower-voltage circuits, and create oscillation.
Point is, don't get carried away solving a perceived problem such that you create a new and different problem.
I haven't tried it yet (no need up to now), but the headphone trick makes the most sense for determining what steps really need to be taken to knock down hum coupled from the PT.